The conjectural theory of mixed motives would be a universal
cohomology theory in arithmetic algebraic geometry. The monograph
describes the approach to motives via their well-defined
realizations. This includes a review of several known cohomology
theories. A new absolute cohomology is introduced and
studied.
The book assumes knowledge of the standard cohomological techniques
in algebraic geometry as well as K-theory. So the monograph is
primarily intended for researchers. Advanced graduate students can
use it as a guide to the literature.
General
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